A professor is teaching three sections of the same course and wants to determine if the proportion of students who passed is statistically different across the classes. The table below reports how many students in each section passed and how many were enrolled:
| Section | Passed | Enrolled |
| 24987 | 77 | 108 |
| 24988 | 78 | 104 |
| 24989 | 80 | 106 |
Conduct the chi-square test and report the final test statistic.
The statistical software output for this problem is:

From above output:
Chi square test statistic = 0.088
A professor is teaching three sections of the same course and wants to determine if the...
Question 6. An instructor is teaching three sections of the same course this term. There are, in sections 1,2 and 3 respectively, 24, 28 and 32 people. They take an SRS sample from each section and obtain the following grades and genders in brackets: Section 1 2 3 Grades 81 (Male) 42 (Male) 55 (Female) 78 (Female) 66 (Female) 78 (Male) 65 (Male) 79 (Male) 95 (Male) Part A. Build a 95% confidence interval for section 2. Part B. Build...
Problem #5. James and Walter were teaching different sections of the same course. When the course was completed, they compared the grades they gave to see whether their distributions of grades were essentially the same D & F James Walter 15 27 21 16 24 Use a chi-squared Test (with the level of significance α-Ο 01) to see whether the difference is significant.
Problem #5. James and Walter were teaching different sections of the same course. When the course was...
The average test score for the statistics course is 81%. A professor wants to see if the average test score for students who are given colored pens on the first day of class is different. The test scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 82, 59, 64, 78, 66, 73, 79, 61, 65, 54, 85, 58 What can be concluded at the...
A professor teaches two sections of an introductory statistics course. He gives each section the same final and wonders if any significant differences exist between the medians of these sections. He draws a sample of seven scores from Section A and six scores from Section B. Section A Section B 75 62 87 93 74 7765 64 95 72 7885 80 Cli Click here for the Excel Data File o. Set up the hypotheses to test the claim that the...
The average final exam score for the statistics course is 77%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 79.65, 57. 72. 84. 54,60,69.69.85,58,79 What can be concluded at the the a = 0.05...
1. A mathematics professor believes that the performance of students taking an elementary calculus course has declined in recent years. The professor decides to reuse a final exam that was first administered 10 years ago. At that time the mean score was 81 with s=10, for the 50 students in the section taught by that professor When given to the current class of 53 students, who observed essentially the same set of lectures, the mean is 75 with s=15. If...
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The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 11 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 11 golfers play a round of golf on his friend's course and records their scores again. The average difference in the scores (treated as the scores on his course - the scores on...
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